Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Make use of GCD Calculator to determine the Greatest Common Divisor of 926, 313, 509, 384 i.e. 1 largest integer that divides all the numbers equally.
GCD of 926, 313, 509, 384 is 1
GCD(926, 313, 509, 384) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 926, 313, 509, 384 is 1
GCD(926, 313, 509, 384) = 1
Given Input numbers are 926, 313, 509, 384
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 926
List of positive integer divisors of 926 that divides 926 without a remainder.
1, 2, 463, 926
Divisors of 313
List of positive integer divisors of 313 that divides 313 without a remainder.
1, 313
Divisors of 509
List of positive integer divisors of 509 that divides 509 without a remainder.
1, 509
Divisors of 384
List of positive integer divisors of 384 that divides 384 without a remainder.
1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384
Greatest Common Divisior
We found the divisors of 926, 313, 509, 384 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 926, 313, 509, 384 is 1.
Therefore, GCD of numbers 926, 313, 509, 384 is 1
Given Input Data is 926, 313, 509, 384
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 926 is 2 x 463
Prime Factorization of 313 is 313
Prime Factorization of 509 is 509
Prime Factorization of 384 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3
The above numbers do not have any common prime factor. So GCD is 1
Step1:
Let's calculate the GCD of first two numbers
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(926, 313) = 289838
GCD(926, 313) = ( 926 x 313 ) / 289838
GCD(926, 313) = 289838 / 289838
GCD(926, 313) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 509
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 509) = 509
GCD(1, 509) = ( 1 x 509 ) / 509
GCD(1, 509) = 509 / 509
GCD(1, 509) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 384
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 384) = 384
GCD(1, 384) = ( 1 x 384 ) / 384
GCD(1, 384) = 384 / 384
GCD(1, 384) = 1
GCD of 926, 313, 509, 384 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 926, 313, 509, 384?
GCD of 926, 313, 509, 384 is 1
2. Where do I get the detailed procedure to find GCD of 926, 313, 509, 384?
You can find a detailed procedure to find GCD of 926, 313, 509, 384 on our page.
3. How to find GCD of 926, 313, 509, 384 on a calculator?
You can find the GCD of 926, 313, 509, 384 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.